Study guides

☆

Q: Can all terminating decimals be written as fractions?

Write your answer...

Submit

Still have questions?

Continue Learning about Basic Math

Of course all the decimals have fractions except those with non-recurring and non-terminating decimals.

Yes. All terminating decimals are rational.

Not all decimals can be expressed as fractions. Only terminating and recurring decimals can be expressed as fractions. eg a recurring decimal: 0.3333333... = 1/3 A terminating decimal: 0.125 = 1/8 A decimal that does not recurr or terminate, cannot be expressed as a fraction. eg Pi = 3.141592654... Pi can not be expressed as a fraction as it does not recurr or terminate. It can only be approximated to a fraction. eg Pi ≈ 355/113 but is correct to 6 decimal places.

decimals fractions and percents are all alike because they show parts of 100, per 100(percent, cent representing for 100, century)

Yes, if a decimal terminates it is rational. However, decimals that repeat with a definite pattern, such as 8.2121212121..., would also be rational.All terminating decimals are rational. For example, 0.1259 is the same as the rational number 1259 / 10000.Both terminating decimals and repeating decimals are rational numbers.yes!let x be a real number with k digits after the decimal. then x*10k and 10k are integers, and (x*10k) / (10k) = x. therefore xis rational.

Related questions

Of course all the decimals have fractions except those with non-recurring and non-terminating decimals.

No, no repeating decimal is irrational. All repeating decimals can be converted to fractions. They are, however, non-terminating.

All irrational numbers are non-terminating decimals that can't be expressed as fractions

0.5 is a terminating decimal and, since it is equal to a half, it is not an integer. A terminating decimal that is not an integer is a rational fraction. However, not all rational fractions are terminating decimals (eg 1/3 = 0.333...).0.1251.2512.5etc.

All terminating decimal numbers are rational.

Yes.Yes.Yes.Yes.

All rational fractions.

All numbers can be changed from fractions to decimals.

All rational fractions - one integer divided by a non-zero integer - give rise to repeating or terminating decimals. If, for the fraction in its simplest form, the denominator can be expressed as a product of powers of only 2 and 5 then the decimal will terminate. If the denominator has any prime factor other than 2 or 5 the decimal will be recurring. All non-rational fractions will have infinite, non-recurring decimal representations.

Yes. All terminating decimals are.

All jobs will use terminating decimals but most jobs will also require you to be able to work with recurring decimals and many will need decimal numbers which are neither terminating nor recurring.

No, not all fractions can be written as a non-terminating decimal. For instance, 1/3 has infinitely many 3's in the decimal places.

People also asked